Next Article in Journal
On Some New Results in Graphical Rectangular b-Metric Spaces
Previous Article in Journal
Solutions of Extension and Limits of Some Cantorian Paradoxes
Open AccessFeature PaperArticle

Recovering of the Membrane Profile of an Electrostatic Circular MEMS by a Three-Stage Lobatto Procedure: A Convergence Analysis in the Absence of Ghost Solutions

1
Dipartimento di Ingegneria Civile Energia Ambiente e Materiali (DICEAM), Mediterranea University, Via Graziella Feo di Vito, I-89122 Reggio Calabria, Italy
2
Dipartimento di Ingegneria dell’Informazione Infrastrutture Energia Sostenibile (DIIES), Mediterranea University, Via Graziella Feo di Vito, I-89122 Reggio Calabria, Italy
3
Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra (MIFT), Messina University, Viale F. Stagno d’Alcontres, I-98166 Messina, Italy
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(4), 487; https://doi.org/10.3390/math8040487
Received: 25 February 2020 / Revised: 20 March 2020 / Accepted: 27 March 2020 / Published: 1 April 2020
In this paper, a stable numerical approach for recovering the membrane profile of a 2D Micro-Electric-Mechanical-Systems (MEMS) is presented. Starting from a well-known 2D nonlinear second-order differential model for electrostatic circular membrane MEMS, where the amplitude of the electrostatic field is considered proportional to the mean curvature of the membrane, a collocation procedure, based on the three-stage Lobatto formula, is derived. The convergence is studied, thus obtaining the parameters operative ranges determining the areas of applicability of the device under analysis. View Full-Text
Keywords: electrostatic membrane MEMS devices; 2D nonlinear second order differential model; mean curvature; Lobatto’s scheme; ghost solutions electrostatic membrane MEMS devices; 2D nonlinear second order differential model; mean curvature; Lobatto’s scheme; ghost solutions
Show Figures

Figure 1

MDPI and ACS Style

Versaci, M.; Angiulli, G.; Jannelli, A. Recovering of the Membrane Profile of an Electrostatic Circular MEMS by a Three-Stage Lobatto Procedure: A Convergence Analysis in the Absence of Ghost Solutions. Mathematics 2020, 8, 487.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop